What are the solutions to the equation 5x^2-2x+10=0 ?

The solutions to the equation 5x^2-2x+10=0 are x= 1/5+i 7/5 ,x= 1/5-i 7/5

Find the zeros of 5x^2-2x+10=0

The zeros of 5x^2-2x+10=0 are x= 1/5+i 7/5 ,x= 1/5-i 7/5

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5 x^{2} - 2 x + 10 = 0

x = \frac{1}{5} + i \frac{7}{5}, x = \frac{1}{5} - i \frac{7}{5}

Solution steps

5 x^{2} - 2 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 5 \cdot 10}{2 \cdot 5}

Simplify

(- 2)^{2} - 4 \cdot 5 \cdot 10 : 14 i

x_{1, 2} = \frac{- ( - 2 ) \pm 14 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 14 i}{2 \cdot 5}, x_{2} = \frac{- ( - 2 ) - 14 i}{2 \cdot 5}

x = \frac{- ( - 2 ) + 14 i}{2 \cdot 5} : \frac{1}{5} + i \frac{7}{5}

x = \frac{- ( - 2 ) - 14 i}{2 \cdot 5} : \frac{1}{5} - i \frac{7}{5}

The solutions to the quadratic equation are:

x = \frac{1}{5} + i \frac{7}{5}, x = \frac{1}{5} - i \frac{7}{5}

2 x^{2} + x - 351 = 0

0 = 3 x^{2} - 2 x - 5

0 = 3 x^{2} - 2 x - 4

x^{2} + \frac{1}{2} = 0

5 u^{2} - 30 u = 0

What are the solutions to the equation 5x^2-2x+10=0 ?
The solutions to the equation 5x^2-2x+10=0 are x= 1/5+i 7/5 ,x= 1/5-i 7/5
Find the zeros of 5x^2-2x+10=0
The zeros of 5x^2-2x+10=0 are x= 1/5+i 7/5 ,x= 1/5-i 7/5